{"created":"2021-03-01T06:22:58.118033+00:00","id":19866,"links":{},"metadata":{"_buckets":{"deposit":"e1d883d7-15e6-4950-9d6d-e65ff03cf015"},"_deposit":{"id":"19866","owners":[],"pid":{"revision_id":0,"type":"depid","value":"19866"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00019866","sets":["1169:1170"]},"author_link":["105661","105662"],"item_1628147817048":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_6_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"91","bibliographicPageStart":"75","bibliographicVolumeNumber":"45","bibliographic_titles":[{"bibliographic_title":"HOKKAIDO MATHEMATICAL JOURNAL"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"For a module L which has only finitely many submodules with a given finite index we define the zeta function of L to be a formal Dirichlet series zeta(L) (s) = Sigma(n >= 1) a(n)n(-s) where a(n) is the number of submodules of L with index n. For a commutative ring R and an association scheme (X, S) we denote the adjacency algebra of (X, S) over R by RS. In this article we aim to compute zeta(ZS)(s), where ZS is viewed as a regular ZS-module, under the assumption that vertical bar X vertical bar is a prime or vertical bar S vertical bar = 2.","subitem_description_type":"Abstract"}]},"item_6_description_30":{"attribute_name":"資源タイプ（コンテンツの種類）","attribute_value_mlt":[{"subitem_description":"Article","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"引用","attribute_value_mlt":[{"subitem_description":"HOKKAIDO MATHEMATICAL JOURNAL. 45(1):75-91 (2016)","subitem_description_type":"Other"}]},"item_6_link_3":{"attribute_name":"信州大学研究者総覧へのリンク","attribute_value_mlt":[{"subitem_link_text":"Hanaki, Akihide","subitem_link_url":"http://soar-rd.shinshu-u.ac.jp/profile/ja.ZakeHCkF.html"}]},"item_6_link_67":{"attribute_name":"WoS","attribute_value_mlt":[{"subitem_link_text":"Web of Science","subitem_link_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000374705200004"}]},"item_6_publisher_4":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"HOKKAIDO UNIV, DEPT MATHEMATICS"}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.14492/hokmj/1470080749"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.14492/hokmj/1470080749","subitem_relation_type_select":"DOI"}}]},"item_6_rights_62":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright © 2016 Department of Mathematics, Hokkaido University"}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0385-4035","subitem_source_identifier_type":"ISSN"}]},"item_6_source_id_40":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00664662","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hanaki, Akihide"}],"nameIdentifiers":[{"nameIdentifier":"105661","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Hirasaka, Mitsugu"}],"nameIdentifiers":[{"nameIdentifier":"105662","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-05-24"}],"displaytype":"detail","filename":"euclid.hokmj.1470080749.pdf","filesize":[{"value":"251.4 kB"}],"format":"application/pdf","licensefree":"Copyright © 2016 Department of Mathematics, Hokkaido University","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"euclid.hokmj.1470080749.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/19866/files/euclid.hokmj.1470080749.pdf"},"version_id":"9d1d40d1-1829-4dc3-99b3-7500f4c4dd03"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"zeta functions","subitem_subject_scheme":"Other"},{"subitem_subject":"adjacency algebras","subitem_subject_scheme":"Other"},{"subitem_subject":"association schemes","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Zeta functions of adjacency algebras of association schemes of prime order or rank two","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Zeta functions of adjacency algebras of association schemes of prime order or rank two","subitem_title_language":"en"}]},"item_type_id":"6","owner":"1","path":["1170"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-05-24"},"publish_date":"2018-05-24","publish_status":"0","recid":"19866","relation_version_is_last":true,"title":["Zeta functions of adjacency algebras of association schemes of prime order or rank two"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T03:45:50.507043+00:00"}